Count "votes against" in pair-ties?
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Tue Nov 12 21:02:18 PST 1996
Mr. Eppley wrote:
Isn't it possible for the votes against an unbeaten candidate in a pair-tie
to be worse than the Condorcet score of a beaten candidate?
A B C
A 50= 2L
B 50= 35
C 1 45L
---- ---- ----
? ? 2 <--- Maximum votes against. Count the ties?
A (and only A) is unbeaten and wins by our definition. But A's 50 in the tie
is larger than C's 2 in C's only loss. Is A really less beaten than C?
I hope I'm not muddying the waters. The odds against a pair-tie in a large
election are negligible.
-----
Demorep1--I thought that a candidate must get more votes than each other
candidate to be the Condorcet winner (i.e. a tie is not a win). Thus, is A
the winner ?
Does any candidate in the example have majority approval on a yes/no vote ?
Are there overlapping votes in the 6 pairings-
1 CA
2 AC
35 BC
45 CB
50 AB
50 BA
(such as an ACB vote) ?
With a low number of voters, as in many clubs, ties are a distinct
possibility.
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